additive group
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English[edit]
Noun[edit]
additive group (plural additive groups)
 (mathematics) Any group, or algebraic object that can be regarded as a group, whose binary operation is called addition and denoted +; specifically:
 (group theory) Any (often, but not necessarily, abelian) group whose binary operation is called addition.
 (algebra) Any of certain algebraic objects (ring, field or vector space, etc., whose definition includes a commutative operation called addition) regarded as a group under addition.
 (category theory) Any group object (such as a group functor, group scheme, etc.), whose binary operation is called addition.
Usage notes[edit]
Borrowing terminology and notation from arithmetic, the additive inverse of an element a is called minus a (denoted −a), and the additive identity is called zero (0).
Translations[edit]
group or algebraic object regarded as a group with operation called addition
